B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e

[muzik]

This is a minimal-transition version of the rule B2c3aj4nrt5i6c78/S1-e23enr4aet5-iq67, a rule discovered by A for awesome which supports an arbitrary amount of speeds of the form c/n where n is an odd number over 4.

Code: Select all

x = 38, y = 10, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
36bo$29bo5bobo$22bo5bobo4bobo$15bo5bobo4bobo5bo$8bo5bobo4bobo5bo6bo$bo
5bobo4bobo5bo6bo6bo$obo4bobo5bo6bo6bo6bo$obo5bo6bo6bo6bo6bo$bo6bo6bo6b
o6bo6bo$3o4b3o4b3o4b3o4b3o4b3o!

One thing of major importance here is the existence of this elementary c/2 spaceship:

Code: Select all

x = 3, y = 2, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
obo$3o!

With the existence of this spaceship, could syntheses for the systematic spaceships be made?

Universal eater:

Code: Select all

x = 105, y = 7, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
104bo$103bo$o47b2o4bo15b2o4bo3b2o4bo2b2o4bob2o$48o2bo3b16o2bo3b4o2bo3b
3o2bo3b2o2bo$o47b2o4bo15b2o4bo3b2o4bo2b2o4bob2o$103bo$104bo!

Rule table:

Code: Select all

@RULE B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e

*** File autogenerated by saverule. ***


This is a two state, isotropic, non-totalistic rule on the Moore neighbourhood.
The notation used to define the rule was originally proposed by Alan Hensel.
See http://www.ibiblio.org/lifepatterns/neighbors2.html for details


@TABLE


n_states:2
neighborhood:Moore
symmetries:rotate4reflect

var a={0,1}
var b={0,1}
var c={0,1}
var d={0,1}
var e={0,1}
var f={0,1}
var g={0,1}
var h={0,1}

# Birth
0,0,1,0,1,0,0,0,0,1
0,1,1,1,0,0,0,0,0,1
0,1,1,0,0,0,0,1,0,1
0,1,1,1,0,1,0,0,0,1
0,1,1,0,1,0,0,0,1,1
0,1,1,0,0,1,0,0,1,1
0,1,1,1,1,1,0,0,0,1
0,1,1,1,1,1,0,1,0,1
0,1,1,1,1,1,1,0,1,1

# Survival
1,0,1,0,0,0,0,0,0,1
1,1,1,0,0,0,0,0,0,1
1,1,0,0,1,0,0,0,0,1
1,1,0,0,0,1,0,0,0,1
1,0,1,0,1,0,0,0,0,1
1,1,1,0,1,0,0,0,0,1
1,1,1,0,0,1,0,0,0,1
1,1,0,1,0,1,0,0,0,1
1,1,1,1,1,0,0,0,0,1
1,1,1,0,0,1,0,0,1,1
1,1,0,1,0,1,0,1,0,1
1,1,1,1,0,1,0,1,0,1
1,1,1,0,1,1,0,1,0,1
1,1,1,0,1,0,1,0,1,1
1,1,1,1,1,1,0,1,0,1
1,1,1,1,1,1,1,0,1,1

# Death
1,a,b,c,d,e,f,g,h,0


@COLORS



@ICONS

circles

[Hdjensofjfnen]

This essentially does the same thing, except only in the right period:

Code: Select all

x = 22, y = 20, rule = B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e
3bo14bo$2bobo12bobo$3bo14bo2$bo3bo9b2o3b2o$2o3b2o8bo5bo4$3bo14bo$2bobo
12bobo$2bobo12bobo$3bo14bo$3bo14bo$3bo14bo$3bo14bo$3bo14bo$3bo14bo$3bo
14bo$2b3o12b3o!

EDIT: A "What the flip?" 2G:

Code: Select all

x = 8, y = 3, rule = B2c3aj4nrt5i6c7e/S1c2-en3enr4aet5cey6c7e
2o4b2o$o6bo$2o4b2o!

[muzik]

Some syntheses:

c/5:

Code: Select all

x = 14, y = 15, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
6b3o$7bo5$o8bo3bo$2o6b2o2b2o$o8bo3bo5$7bo$6b3o!

Code: Select all

x = 13, y = 15, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
5b3o$6bo5$o6bo4bo$2o4b2o3b2o$o6bo4bo5$6bo$5b3o!

c/7:

Code: Select all

x = 25, y = 29, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
16b3o$17bo6$17b3o$18bo5$o10bo8bo3bo$2o9b2o6b2o2b2o$o10bo8bo3bo5$18bo$
17b3o6$17bo$16b3o!

c/9:

Code: Select all

x = 13, y = 31, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
4b3o$5bo7$5b3o$6bo5$o6bo4bo$2o4b2o3b2o$o6bo4bo5$6bo$5b3o7$5bo$4b3o!

c/13:

Code: Select all

x = 49, y = 31, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
22b3o7b3o$22bobo8bo7$25b3o$26bo2$6bo$6b2o$6bo$19bo8bo3bo15bo$o18b2o6b
2o2b2o14b2o$2o17bo8bo3bo15bo$o5bo$6b2o$6bo2$26bo$25b3o7$22bobo8bo$22b
3o7b3o!

Code: Select all

x = 22, y = 11, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
21bo$20b2o$21bo2$o17bo$2o10b2o3b2o$o11bo5bo$12b2o$21bo$20b2o$21bo!

c/15:

Code: Select all

x = 22, y = 33, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
4b3o$4bobo10$9bo$b3o4b2o$bobo5bo2$20b2o$21bo$20b2o2$bo7bo$3o5b2o$9bo
10$4bobo$4b3o!

Code: Select all

x = 25, y = 19, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
15bo$8b2o4b2o$8bo6bo$8b2o2$o23bo$2o21b2o$o6bobo5bobo6bo$7b3o5b3o9$12bo
$11b3o!

c/21:

Code: Select all

x = 61, y = 105, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
47b3o$48bo7$49b3o$50bo23$52b3o$53bo14$50bo$50b2o$50bo$53bo$o8bo6bo3bo
5b2o2b2o21b2o4b2o$2o7b2o5b2o2b2o4bo3bo22bo6bo$o8bo6bo3bo5b2o2b2o27b2o
2$50bo$50b2o$50bo14$53bo$52b3o23$50bo$49b3o7$48bo$47b3o!

Easy reaction to make ships of arbitrary speeds:

Code: Select all

x = 3, y = 37, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
3o$bo$obo$obo$bo5$bo$3o4$bo$3o5$bo$3o6$bo$3o7$bo$3o!

Speeding up is possible too:

Code: Select all

x = 3, y = 23, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
3o$bo$bo$bo$bo$bo$bo$bo$bo$obo$obo$obo$obo$bo2$obo$3o5$obo$3o!

Hive extender:

Code: Select all

x = 9, y = 17, rule = B2c3aj4nrt5i6c7e_S1c2-en3enr4aet5cey6c7e
3b3o$4bo3$bo5bo$o7bo3$4bo$3bobo$3bobo$3bobo$3bobo$3bobo$3bobo$3bobo$4b
o!

Kind of saddening that there doesn't seem to be any reactions that could result in a small gun.